# A cheetah can maintain its maximum speed of 120 km/hr for 38 seconds. What minimum distance must a gazelle running 74 km/hr be ahead of the cheetah to escape? A) 417.2 m B) 3778 m C) 624.3 m D) 485.6

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1. A 60-kg cheetah reaches a speed of 30 m/s as it chases its prey.What is the kinetic energy of the cheetah? A.900 j B. 1,800 j C.27,000 j D. 54,000 j

2. ## science

a cheetah runs at a distance of 200meters in 10 seconds .what is the speed of cheetah in m/s and km/h

3. ## Physics

An electric train leaves a station starting from rest and attains a speed of 72km/hr in 10 second. It travels at that speed for 120 seconds. Then it undergoes uniform retardation for 20 seconds to come to halt at the next station calculate : a) distance

4. ## Physics

A cheetah can run approximately 100 km/hr and a gazelle at 80.0 km/hr. If both animals are running at full speed, with the gazelle 70.0 m ahead, how long before the cheetah catches its prey?

5. ## math

A cheetah traveling at 31 m/s chased its prey for 11 seconds. What distance did the cheetah travel during the chase??

6. ## Math

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. For one particular pair of markings, R is 60 mph when T is 8

7. ## Math

The speed of a Garden snail is 50 meters per hour and that of the Cheetah is 120 kilometers per hour. Find the ratio of the speeds.

8. ## Calculus Help

A high-speed bullet train accelerates and decelerates at the rate of 4 ft/s2. Its maximum cruising speed is 90 mi/h. (Round your answers to three decimal places.) (a) What is the maximum distance the train can travel if it accelerates from rest until it

9. ## Physics

1. A rabbit and a turtle are practicing for their big race. The rabbit covers a 30.0 m practice course in 5.00 seconds; the turtle covers the same distance in 120 seconds. If the actual race is run on a 96.0 m course, by how many seconds will the rabbit

10. ## Physics

Jack rides his skateboard a total distance of 120 m in 20 sec. What was his speed? 5 seconds after he started Jack was at a distance of 30 meters. 10 seconds after he started he was at a distance of 70 meters. What was Jack’s speed from time = 5 sec to

11. ## Physics

The cheetah can maintain its maximum speed for only 7.5 s. What is the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape? (After 7.5 s the speed of cheetah is less than that of the gazelle.) Answer in units of m

12. ## Math

A cheetah travels at a rate of 90 feet per second. The distance, d, traveled by the cheetah is a function of seconds traveled. Write a rule for the function. How far will the cheetah travel in 25 seconds?

13. ## Science -Physics

The shaker cart,shown in the figure,is the latest extreme sport craze.You stand inside of a small cart attached to a heavy-duty spring,the spring is compressed and released,and you shake back and forth,attempting to maintain your balance. Note that there

14. ## math

The diagram below shows the speed time graph for a train travelling between two stations. The train starts from rest and accelerates uniformly for 150 seconds. It then travels at a constant speed for 300 seconds and finally decelerates uniformly for 200

15. ## physics

The cheetah can reach a top speed of 114km/h (71mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 50m in a straight line reaching a final speed of 91 km/h. a.) Determine the cheetah's average acceleration during the short

16. ## Math (Trigenometry)

Find two positve real numbers whose product is a maximum and whose sum of the first number and four times the second number is 120. This is as far as I've gotten in solving it. *first number is x. *second number is y. *xy=maximum, which is unknown.

17. ## Physics

A cheetah can maintain its maximum speed of 120 km/hr for 38 seconds. What minimum distance must a gazelle running 74 km/hr be ahead of the cheetah to escape? A) 417.2 m B) 3778 m C) 624.3 m D) 485.6 m E) 1748 m

18. ## Math

A cheetah travels at a rate of 90 feet per second. The distance, d, traveled by the cheetah is a function of seconds traveled. Write a rule for the function. How far will the cheetah travel in 25 seconds? Need help within an hour maybe Ok thanks :)

19. ## Algebra

1.A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h=-16t^2+120t+10. How long does it take to reach maximum height? What is the boulder's maximum height? round

20. ## Science

A 60-kg cheetah reaches a speed of 30m\s as it chases its prey. What is the kenetic energy of the cheetah?

21. ## algebra

a cheetah ran 300 feet in 2.92 seconds. What was the cheetahs average speed in miles per hour? Please show steps.THANKS!!

22. ## physic

A cheetah is crouched in ambush 20m to the east of an observers blind. At time t=0 the cheetah charges an aeroplane in a cleaning 50m east of the observer. The cheetah runs along the straight line.

23. ## Math

In a certain state, the maximum speed permitted on freeways is 65 mi/h and the minimum speed is 40 mi/h. The fine for violating these limits is \$15 for every mile per hour above the maximum speed or below the minimum speed. Express the amount of the fine F

24. ## physics

a cheetah can accelerate from rest to 24 m/s in 2.0 s . Assuming the acceleration is constant over the time interval, a)what is the magnitude of the acceleration of the cheetah? b) what is the distance traveled by the cheetah in these 2.0 s.? c) a runner

25. ## Calculus

Find the absolute maximum and absolute minimum of f on the interval (-4, -1]: f(x)=(x^3+8x^2+19x+12)/(x+4) A. Maximum: None; Minimum: (-2, -1) B. Maximum: (-4, 3); Minimum (-1, 0) C. Maximum: (-4, 3); Minimum: (-2, -1) D. Maximum: None; Minimum: (-1, 0) E.

26. ## physics

a jet plane lands with a speed of 101 m/s and can accelerate at a maximum rate of -4.60 m/s2 as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? ___s b)What is the actual

27. ## Physics

A cheetah can run with a speed of 29 m/s. Determine the distance travelled by a running cheetah in 8.6 s

28. ## physics

A cheetah is hunting. Its prey runs for 4.3 s at a constant velocity of +8.4 m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time?

29. ## Physics

The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 46 m in a straight line, reaching a final speed of 83 km/h. (a) Determine the cheetah's average acceleration during the

30. ## Math

A scientist travels straight down for 90 seconds at a speed of 3.5 feet per second and then travels directly up for 30 seconds at a speed at a speed of 2.2 feet per second after this 120 second period,how much time in seconds,will it take for the scientist

31. ## Science Help fast

A cheetah can go from a state of resting to running at 20 m/s in just 2 seconds. What is the cheetah’s average acceleration? A. 0.1 m/s2 B. 10 m/s2 C. 0.1 m/s D. 10 m/s

32. ## Physics

A cheeta can run with a speed of 29 m/s. Determine the distance travelled by a running cheetah in 8.6 s. D= 29/8.6 = 3.3s

33. ## Algebra 2

The vertices of a feasible region are A(1,2), B(5,2), C(1,40. Write a function that satisfies each equation. a) A is the maximum and B is the minimum. b) C is the maximum and B is the minimum. c) B is the maximum and A is the minimum.

34. ## science

A 60-kg cheetah reaches a speed of 30m\s as it chases its prey. What is the kinetic energy of the cheetah? A 900 J B 1,800 J C 27,000 J D 54,000 J MY answer is B

35. ## Calculus

Use analytical methods to find the exact global maximum and minimum values of the function f(x)=8x-ln(4x) for x >0. If a global maximum or minimum does not exist, enter the word NONE. For the global maximum at x=none, But for the Global minimum at x=? Is

36. ## Physics

A wave on a string is described by: y=(3.6cm)sin(2.7x−3.1t +0.97) where x is in meters, and t is in seconds, phase constant is in radians Consider a particle at x= 0.50m. After t = 0, how much time will pass before that particle first reaches its maximum

37. ## Physics

A cheetah can run at a maximum speed 103 km/h and a gazelle can run at a maximum speed of 74.3 km/h. If both animals are running at full speed, with the gazelle 57.5 m ahead, how long before the cheetah catches its prey? Answer in s. The cheetah can

38. ## Physics

A cheetah can maintain its maximum speed of 29.5 m/s for only 35.3 seconds. What is the maximum distance a gazelle running at 26.2 m/s must be ahead of the cheetah to have a chance of escaping?

39. ## Physics

A cheetah starting form rest can reach a maximum speed of 28m.s in 2s and it can maintain this maxium speed for 15s after this it must rest. suppose an antelope and a cheetah initially at rest are separated by a displcament of magnitude 100m.The antelope

40. ## Physics

. The cheetah is the fastest running animal in the world. Cheetahs can accelerate to a speed of 20 m/s in 2.5 an can continue to accelerate to reach a stop speed of 29 m/s. Assume the acceleration is constant until the stop speed is reached and is zero

41. ## Physics

A cheetah can run at a maximum speed 96.6 km/h and a gazelle can run at a maximum speed of 78.5 km/h. If both animals are running at full speed, with the gazelle 93.9 m ahead, how long before the cheetah catches its prey? Answer in units of s.

42. ## Physics

A cheetah can run at a maximum speed 96.6 km/h and a gazelle can run at a maximum speed of 78.5 km/h. If both animals are running at full speed, with the gazelle 93.9 m ahead, how long before the cheetah catches its prey? Answer in units of s.

43. ## math

A cheetah traveling at 31 m/s chased its prey for 11 seconds. What distance did the cheetah travel during the chase?

44. ## physics

Suppose that a sprinter can reach maximum speed by accelerating uniformly for 1.7 seconds. What maximum speed must this sprinter maintain in order to equal the world's record of 19.5 seconds for 200 meters?

45. ## Physics

A cheetah looks up and sees a gazelle in the distance. The cheetah starts running towards the gazelle; when it catches the gazelle, it is running at the speed of 0.029km/s. If the acceleration of the cheetah is 4.14m/s2, how long does it take for the

46. ## math

The top speed of a cheetah is 71 miles per hour. Which of the following answers seems most reasonable for the distance a cheetah would cover in 25 minutes at this speed?

47. ## Physics

Although it can't sustain its top speed for more than 8.65 sec, the cheetah can run a distance of 274 m during that time. If a cheetah with a mass of 50.0 kg is moving north at its top speed. what is its momentum?

48. ## science

Find the overall average speed of swimmer number one during the race. Find the overall average speed of the second swimmer from the time he starts swimming until he ends his race. What is the instantaneous speed of the second swimmer at time t = 25 s

49. ## Physics

A cheetah is hunting. Its prey runs for 3.07 s at a constant velocity of +11.32 m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time?

50. ## physics

A cheetah is hunting. Its prey runs for 2.9 s at a constant velocity of +9.9 m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time?

51. ## Physics

A cheetah is hunting. Its prey runs for 2.56 s at a constant velocity of +10.02 m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time?

52. ## physics

A cheetah is hunting. Its prey runs for 3.21 s at a constant velocity of +8.36 m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time?

53. ## physics

The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 50 m in a straight line, reaching a final speed of 89 km/h. (a) Determine the cheetah's average acceleration during the

54. ## Physics

A cheetah is hunting. Its prey runs for 2.88 s at a constant velocity of +8.93 m/s. Starting from rest, what constant acceleration must the cheetah maintain in order to run the same distance as its prey runs in the same time? (Give the magnitude of the

55. ## physics

A cheetah runs a distance of 97 m at a speed of 26 m/s and then runs another 97 m in the same direction at a speed of 34 m/s. What is the cheetah's average speed? ___m/s

56. ## Physics

Light-rail passenger trains that provide transportation within and between cities are capable of modest accelerations. The magnitude of the maximum acceleration is typically 1.3 m/s ^2, but the driver will usually maintain a constant acceleration that is

57. ## Physics

A cheetah can accelerate from rest to 25.9 m/s in 1.80 s. Assuming the acceleration is constant over the time interval, what is the magnitude of the acceleration of the cheetah? What is the distance traveled by the cheetah in these 1.80 s?

58. ## physic

The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 50 m in a straight line, reaching a final speed of 79 km/h. Determine the cheetah's average acceleration during the short

59. ## physics

1. A yacht is tacking into the wind on a zigzag path. On the rst leg of the course, the yacht has a displacement of 12 km at 840 north of east. After a second leg has been completed, the yacht's resultant displacement is 10 miles at 230 west of south.

60. ## math

A train traveling between two stations. The train starts from rest and accelerates uniformly for 150 seconds. It then travels at a constant speed for 300 seconds and finally decelerates uniformly for 200 seconds. Given that the distance between the two

61. ## math

Train traveling between two stations. The train starts from rest and accelerates uniformly for 150 seconds. It then travels at a constant speed for 300 seconds and finally decelerates uniformly for 200 seconds. Given that the distance between the two

62. ## calculus

5.In a certain state the maximum speed permitted on freeways is 65 km/h and the minimum speed is 40 km/h. The fine for violating these limits is Rs.15 for every kilometer per hour above the maximum speed or below the minimum speed. Express the amount of

63. ## Caluclus

Find the absolute maximum and absolute minimum of f on the interval (-1,2]: f(x)=(-x^3+x^2+3x+1)/(x+1) A. Maximum: (1, -2); Minimum: (-1, 2) B. Maximum: (1, -2); Minimum: None C. Maximum: None; Minimum: None D. Maximum: None; Minimum: (-1, 2) E. None of

64. ## Science Help fast

A cheetah can go from a state of resting to running at 20 m/s in just 2 seconds. What is the cheetah’s average acceleration? A. 0.1 m/s2 B. 10 m/s2 C. 0.1 m/s D. 10 m/s

65. ## physics

Calculate the distance Michael will travel if he maintain an average speed of 9.4 m/s for 2.2 seconds.

66. ## physics

Calculate the distance Michael will travel if he maintain an average speed of 9.4 m/s for 2.2 seconds

67. ## physics

A cheetah runs a distance of 102 m at a speed of 27 m/s and then runs another 102 m in the same direction at a speed of 34 m/s. What is the cheetah's average speed?

68. ## Physics

A cheetah runs a distance of 101 m at a speed of 24 m/s and then runs another 101 m in the same direction at a speed of 38 m/s. What is the cheetah's average speed?

69. ## calculus

there are no examples of this type of problem in my book so if you could help walk me through it - that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they occur. 4) F(x)=³√(x); -3

70. ## physics

a) Find the maximum rate of deceleration of a car on a dry, level road, assuming the coefficient of static friction between tires and pavement equals 1.4. (b) Find the minimum stopping distance if the car has an initial speed of 27.5 m/s. (c) Repeat parts

71. ## foundation differential calculus

an object is moving according to the following equation s(t) = 5t - 15t^2 + t^2 s in meter and t in second. 1) identify the times when the distance is maximum and minimum and clearly identify the points. 2)Evaluate the speed at the times in a. Also find

72. ## physics

the cheetah is is one of the fastest accelerating animals, for it can go from rest to 34.5 m/s in 5.00 seconds. if its mass is 106 kg, determine the average powee developes by the cheetah during the acceleration phase of its motion

73. ## math

The distance meters from a fixed point O, covered by a particle after t seconds given by the equation; S = t3 – 6t2 + 9t + 5. (a) Calculate the gradient to the curve at t = 0.5 seconds (b) Determine the values of sat the maximum and minimum turning

74. ## Science/Physics

The cheetah can reach a top speed of 114 km/h (71 mi/h). While chasing its prey in a short sprint, a cheetah starts from rest and runs 46 m in a straight line, reaching a final speed of 73 km/h.

75. ## math

a bus takes 12 hours to travel the same distance that an airplane travels in 1.5 hours. the average speed of the airplane ia 120 km per hour faster than five times the average speed of the bus. what is the average speed of the bus? let x represent the

76. ## physics

a bus is driving through traffic as it makes a number of express stops. the bus drives at a speed of 10 m/s2 for 90 seconds then drives at a speed of 15m/s for 120 seconds before stopping for 30 seconds, then drives at a speed of 5m/s for 60 seconds before

77. ## Science

If a cheetah is able to accelerate at 15.0 m/s2 from a stand still, what speed will it reach after 2.50 seconds?

78. ## calculus

Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller x-value) (x, y) = (larger x-value) maximum (x, y) = (b) [−5,

79. ## Math

Can someone help me with these questions? 1.What are the maximum and minimum values for Y=28(1.21)^x on the interval 0

80. ## science

a cheetah runs at a speed of 30.0m/s. How long does the cheetah take to run 90.0m

81. ## Science

A rocket is launched with a speed of 100m/s at an angle of 53.0 degrees above the horizontal with an acceleration of 30 metres per square seconds. After 3 seconds it's engines fail and the rocket proceeds to move as a projectile.Find the maximum height

82. ## Physics

I need help with the second part of this question. Please show work so I can see. Thanks. I. The fastest land mammal, the cheetah, can accelerate from 0 mi/hr to 70.0 mi/hr in 3.0 seconds. What is the acceleration of the cheetah? Give your answer in units

83. ## Acceleration

I need help with the second part of this question. Please show work so I can see. Thanks. I. The fastest land mammal, the cheetah, can accelerate from 0 mi/hr to 70.0 mi/hr in 3.0 seconds. What is the acceleration of the cheetah? Give your answer in units

84. ## math

Pairs of markings, a set distance apart, are made on highways so that the police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. For one particular pair of markings, R is 35mph when T is 6

85. ## Calculus (pleas help!!!)

Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum = Absolute minimum = (B)

86. ## Calculus (pleas help!!!)

Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum = Absolute minimum = (B)

87. ## Physics

The distance time graph shows a cart moving at a straight path. a. Describe the speed of the cart between: 1.) A and B - The cart is moving with constant speed for 10 seconds and it is now at rest for 20 seconds. 2.) B and C - The cart at rest for 20

88. ## math

I'm having some troubles with these. Thanks in advance. If a>0 find the minimum value. If a

89. ## Math

Football Lesson 5.1 1. y= -0.035x^2 + 1.4x + 1, where x is the distance (in yards) and y is the height (in yards) a. Does the graph open up or down? b. Does the graph have a Maximum value or a minimum value? c. graph the quadratic function. (i'll graph it

90. ## Physics

(a) A body at rest is given an initial uniform acceleration of 8.0 metre per second square for 30 seconds after which the acceleration is reduced to 5.0 metre per second square for the next 20 seconds. The body maintains the speed attained for 60 seconds

91. ## Physics

A cheetah can accelerate from rest to 24.1 m/s in 2.02 s. a) Assuming the acceleration is constant over the time interval, what is the magnitude of the acceleration of the cheetah? b) What is the distance traveled by the cheetah in these 2.02 s? c) A

92. ## Algebra 2

The vertices of a feasible region are A(1,2), B(5,2), C(1,4). Write a function that satisfies each equation. a) A is the maximum and B is the minimum. b) C is the maximum and B is the minimum. c) B is the maximum and A is the minimum.

93. ## Precalculus

The volume V(t) of air (in cubic inches) in an adult's lungs t seconds after exhaling is approximately. (Do not use mixed numbers in your answer.) V(t)= 53+28.5sin(pie(t)/2-pie/2) (a) Find the maximum and minimum amount of air in the lungs. Maximum is

94. ## Maths

A cyclist rides one lap of a circular track at a constant speed so that the riders distance, d meters, from the starting point at any time, t seconds, after starting is: d= (50) - ( 50cos x (pi)t/30, find: (a) the time taken to complete one lap (b) the

95. ## Algebra- Maximum and minimum.

I don't understand how to find the maximum and minimum. Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 15.f(x) = -x2 + 2x - 4 20.f(x) = 2x2 - 4x 19.f(x) = x2 -

96. ## physics

During a ski race, Kate uniformly accelerated at 3.15m/s^2 for 100meters. She then maintained this velocity for another 100m. she then uniformly decelerated at 6m/s^2 for 2 seconds. she accelerates back to her maximum velocity over the next 200meters in 16

97. ## physcis

During a ski race, Kate uniformly accelerated at 3.15m/s^2 for 100meters. She then maintained this velocity for another 100m. she then uniformly decelerated at 6m/s^2 for 2 seconds. she accelerates back to her maximum velocity over the next 200meters in 16

98. ## physics

A jet plane lands with a speed of 87 m/s and can accelerate at a maximum rate of -5.30 m/s2 as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? What is the actual minimum

99. ## Physics

A motorcyclist who is moving along an x-axis has an acceleration given by a=(6.60-2.29t) for 0 >= t = t

100. ## physics

A jet plane lands with a speed of 101 m/s and can accelerate at a maximum rate of -4.60 m/s2 as it comes to rest. (a) From the instant the plane touches the runway, what is the minimum time needed before it can come to rest? ___s b)What is the actual